| Summary: | In this work, we study the existence of strange stars in the background of <inline-formula><math display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi mathvariant="double-struck">T</mi><mo>,</mo><mi mathvariant="script">T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity in the Einstein spacetime geometry, where <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">T</mi></semantics></math></inline-formula> is the torsion tensor and <inline-formula><math display="inline"><semantics><mi mathvariant="script">T</mi></semantics></math></inline-formula> is the trace of the energy-momentum tensor. The equations of motion are derived for anisotropic pressure within the spherically symmetric strange star. We explore the physical features like energy conditions, mass-radius relations, modified Tolman–Oppenheimer–Volkoff (TOV) equations, principal of causality, adiabatic index, redshift and stability analysis of our model. These features are realistic and appealing to further investigation of properties of compact objects in <inline-formula><math display="inline"><semantics><mrow><mi>f</mi><mo>(</mo><mi mathvariant="double-struck">T</mi><mo>,</mo><mi mathvariant="script">T</mi><mo>)</mo></mrow></semantics></math></inline-formula> gravity as well as their observational signatures.
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